Select the correct algebraic expression.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)

Answer 1

Calculation:

Option 1:

RHS

(a – 1) (b – 1)

⇒ ab - a - b + 1 = LHS

Option 2:

RHS

(1 – a) (1 – b) (1 – a) (1 + b)

⇒ (1 - b - a + ab) (1 – a) (1 + b)

⇒ (1 - a - b + ab - a + a² + ab - a²b) (1 + b)

⇒ (1 + b - a - ab - b - b² + ab + ab² - a - ab + a² + a²b + ab + ab² - a²b - a²b²) ≠ LHS

Option 3:

RHS

(1 – a) (b – 1)

⇒ b - 1 - ab + a ≠ LHS

Option 3:

RHS

(a – 1) (1 – b)

⇒ a - ab - 1 + b ≠ LHS

∴ The required answer is Option 1.

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